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A Study on the 3D Hopfield Neural Network Model via Nonlocal Atangana-Baleanu Operators
(Hindawi Limited, 2022-07-07)
Hopfield neural network (HNN) is considered as an artificial model derived from the brain structures and it is an important model that admits an adequate performance in neurocomputing. In this article, we solve a dynamical ...
Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid
(Walter de Gruyter GmbH, 2022-07-07)
In this article, we propose generalized forms of three well-known fractional numerical methods namely Euler, Runge-Kutta 2-step, and Runge-Kutta 4-step, respectively. The new versions we provide of these methods are derived ...
Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana�Baleanu derivatives
(Elsevier B.V., 2021-04-21)
In this research collection, we analysed two different fractional non-linear mathematical models of a well-known mosaic epidemic of plants, which is underlying by begomoviruses and is distributed to plants by whitefly. We ...
A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives
(Elsevier B.V., 2021-05-05)
Several deadly epidemics that have recognized as serious problems all over the world in the last few decades. Lassa hemorrhagic fever, coronavirus, dengue fever, malaria, and HIV are well-known deadly diseases in humans. ...
A new fractional mathematical modelling of COVID-19 with the availability of vaccine
(Elsevier B.V., 2021-04-21)
The most dangerous disease of this decade novel coronavirus or COVID-19 is yet not over. The whole world is facing this threat and trying to stand together to defeat this pandemic. Many countries have defeated this virus ...
Dynamics of cholera disease by using two recent fractional numerical methods
(Mehmet Yavuz, 2021-12-22)
In this paper, we simulate an epidemic model of cholera disease in the sense of generalized Liouville-Caputo fractional derivative. We provide the results related to the existence of a unique solution by using some well-known ...
Lassa hemorrhagic fever model using new generalized Caputo-type fractional derivative operator
(World Scientific, 2021-07-02)
In some of the previous decades, we have observed that mathematical modeling has become one of the most interesting research fields and has attracted many researchers. In this regard, thousands of researchers have proposed ...
A complex fractional mathematical modeling for the love story of Layla and Majnun
(Elsevier Ltd, 2021-06-16)
In this article, we provide numerical simulations to show the importance and the effects of fractional order derivatives in psychological studies. As it is well-known, complex variables are more realistic for defining ...
Fractional time-delay mathematical modeling of Oncolytic Virotherapy
(Elsevier Ltd, 2021-06-19)
An emerging treatment tool which uses replication-competent viruses to dissipate cancers without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the article. We analysed a fractional delay ...
A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
(Elsevier B.V., 2022-02-17)
The main purpose of this paper is to provide new vaccinated models of COVID-19 in the sense of Caputo-Fabrizio and new generalized Caputo-type fractional derivatives. The formulation of the given models is presented including ...